Extracting parton distribution functions from lattice QCD calculations

Parton distribution functions (PDFs) are nonperturbative quantities describing the relation between a hadron and the quarks and gluons within it. We propose to extract PDFs from QCD global analysis of “data” generated by lattice QCD calculations of good “lattice cross sections,” which are basically...

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Bibliographic Details
Published in:Physical review. D 2018-10, Vol.98 (7), p.074021, Article 074021
Main Authors: Ma, Yan-Qing, Qiu, Jian-Wei
Format: Article
Language:English
Subjects:
CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY
Cross-sections
Distribution functions
Gluons
Mathematical analysis
Perturbation theory
Quantum chromodynamics
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Summary:Parton distribution functions (PDFs) are nonperturbative quantities describing the relation between a hadron and the quarks and gluons within it. We propose to extract PDFs from QCD global analysis of “data” generated by lattice QCD calculations of good “lattice cross sections,” which are basically single-hadron matrix elements that are lattice QCD calculable and perturbative QCD factorizable into the PDFs. To demonstrate the existence of good “lattice cross sections,” we take quasiquark distribution introduced by Ji [Phys. Rev. Lett. 110, 262002 (2013)] as a case study to show that it could be factorized into the PDFs to all orders in perturbation theory if it can be multiplicatively renormalized. We calculate the factorized coefficients at the next-to-leading order in αs.
ISSN:2470-0010
2470-0029
DOI:10.1103/PhysRevD.98.074021